本文介紹「反隱形斗篷」，它具有可以抵消部分隱形斗篷的隱形效應。當一個物體包覆一層隱形斗篷後，在斗篷內部再包覆一層反隱形斗篷，此被包覆的物體將被外界給看見。本文利用Mie散射模式來確認二維圓柱型隱形斗篷和反隱形斗篷，藉由Fourier-Bessel analysis知道隱形斗篷具有完美的隱形效果和反隱形斗篷可以抵消隱形斗篷的效應，以及驗證和探討多層連續斗篷的等效行為，並將此方法推廣至三維球型隱形斗篷和反隱形斗篷。本文同時以有限元素法來驗證隱形斗篷和反隱形斗篷的效應，藉由模擬的結果證實了反隱形斗篷能抵消部分隱形斗篷的隱形效應。

In this study we first review the theory of anti-cloak. The concept of anti-cloak was proposed as it has the capability to cancel partially the cloaking effect of the invisibility cloak. An object with an outer shell of “anti-cloak”will be visible to the outside if it is coated with the invisible cloak. We employ Mie scattering models to confirm property of a two-dimensional cylindrical cloak and anti-cloak. Also, we propose and examine the effective behavior of a multi-layer cloak. The formulation was also generalized to three-dimensional spherical invisibility cloak and anti-cloak. Numerical approaches based on finite element method are also employed to demonstrate the field solutions of cloak and anti-cloak. Our numerical simulations show that anti-cloak can partially cancel the cloaking effect of the invisibility cloak.

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